1.

Resistor of resistance R and a capacitor of capacitance Care connected in series to a battery of emf E, through a switch and this circuit is called A. Similarly, inductor of inductance L and resistor of resistance R are connected in series to a battery of emf Ethrough a switch and this circuit is called B. Switches in both the circuits A and B are closed at t= 0.

Answer»

CURRENT in circuit A is `E//R` just after t = 0
Charge on capacitor long after t = 0 is CE
Current in circuit B is just after t = 0
Current through inductor long after t = 0 is `E//R`

Solution :When RC circuit is switched on then at t=0 capacitor behaves like a zero RESISTANCE and hence initial current in the circuit A is `E//R`. Hence, option (a) is correct. After a long TIME capacitor behaves like an INFINITE resistance and current becomes zero and capacitor GETS charged to potential difference of the battery. Hence long after t = 0, charge on capacitor becomes СE. Hence, option (b) is correct.
When LR circuit is switched on then at t = 0 inductor behaves like an infinite resistance and hence initial current in the circuit B becomes zero. Hence, option (c) is correct. After a long time when growth of the current is completed then inductor behaves like a zero resistance and final current `E//R` is established in the circuit B. Hence, option (d) is correct.


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